TY - JOUR
AU - Longwap, Silas
AU - SALAM DIALLO, ABDOUL
PY - 2022/12/27
Y2 - 2023/02/08
TI - SOME GEOMETRIC PROPERTIES OF A FAMILY WALKER METRIC ON A EIGHT-DIMENSIONAL MANIFOLDS: SOME GEOMETRIC PROPERTIES OF A FAMILY WALKER...
JF - Journal of the Nigerian Mathematical Society
JA - JNMS
VL - 41
IS - 3
SE - Articles
DO -
UR - https://ojs.ictp.it/jnms/index.php/jnms/article/view/873
SP - 223 - 234
AB - <p>A pseudo-Riemannian manifold which admits a field of parallel<br>null r-planes, with r ≤ n 2 is a Walker n-manifold. A.G. Walker in [12] investi-<br>gated the canonical forms of the metrics and came out with some interesting re-<br>sults. Of special interest are the even-dimensional Walker manifolds (n = 2m)<br>with fields of parallel null planes of half dimension (r = m). In this paper, we<br>consider a perticular eight-dimensional Walker manifold, derive and investigate<br>some geometric properties of the curvature tensors of the Manifold. We give<br>some theorems for the metric to be Einstein and Locally Conformally Flat.</p>
ER -